Please answer it now in two minutes

Answer:

The common difference = 2.

Step-by-step explanation:

An AP can be written as  a1,  a1 + d,  a1 + 2d,  a1 + 3d,  a1 + 4d,  a1 + 5d, a1 + 6d , a1 + 7d.    

 where a1 = first term and d is the common difference.

Here first term = a1 = 8

3rd term = a1 + 2d = 8 + 2d

5th term = a1 + 4d = 8 + 4d

8th term = 8 + 7d

First 3 terms of a GP are  a , ar and ar^2

So from the given information:

a = 8 + 2d

ar = 8 + 4d

ar^2= 8 + 7d

Dividing the second equation by the first  we have

r = (8 + 4d)/(8 + 2d)

Dividing the third by the second:

r = (8 + 7d) / (8 + 4d)

Therefore, eliminating r we have:

(8 + 4d)/(8 + 2d)  =   (8 + 7d)/(8 + 4d)

(8 + 4d)^2 = (8 + 2d)(8 + 7d)

64 + 64d + 16d^2 =  64 + 72d^ + 14d^2

2d^2 - 8d  = 0

2d(d^2 - 4) = 0

2d = 0 or d^2 = 4, so

d =  0, 2.

The common difference can't be zero so it must be 2.

Answer:

55

Step-by-step explanation:

m^2p - p(m - p), if m=3 and p=5.

So we plug those value into the correct space...

(3)^2 (5) - (5) (3 - 5)

9x5 - 5 x (-2)

45 - (-10)

45 + 10

55

Answer:

La altura de la pirámide es de 8.14 unidades.

Step-by-step explanation:

Hay una pirámide cuadrangular regular cuyas caras laterales forman un ángulo que mide 53º con la base y el área de la superficie lateral es 60. ¿Qué altura tiene?

Dado que el área de superficie lateral = 60

Tenemos

Área del triángulo equilátero = (√3 / 4) × a²

 (√3 / 4) × a² = 60

a² = 60 / (√3 / 4) = 80 · √3

a = √ (80 · √3) = 11.77 unidades

La altura inclinada = Altura de la superficie inclinada = a × sin (60) = 11.77 × sin (60)

La altura inclinada = 11.77 × sin (60) = 10.194 unidades

La altura de la pirámide = Altura inclinada × sin (ángulo de caras laterales con la base)

La altura de la pirámide = 10.194 × sin (53) = 8.14 unidades.

La altura de la pirámide = 8.14 unidades.

Answer:

  105.07°

Step-by-step explanation:

The angle of v1 is ...

  arctan(5/2) ≈ 68.199°

The angle of v2 is ...

  arctan(-3/4) ≈ -38.870°

The angle difference between the two vectors is ...

  68.199° -(-38.870°) = 105.07°

Answer:

5x-18 this angle is equal to 92

3x+22 this angle is equal to 88

angle a=88

angle b=92

Step-by-step explanation:

set 5x-18 and 3x+22 equal to 180 and solve to get x=22. Now look for ways to fill in a and b. A is an alternate interior angle that will be equal to 3x+22

angle b will be equal to the angle 5x-18

Answer:

The value of x is22°, a is 88° and b is 92°.

Hope it helps..

Answer:

1/4PI I GOT IT RIGHT ON KHAN ACADEMY

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

              ✌ -ZYLYNN JADE ARDENNE

Answer:

[tex]\boxed{\frac{1}{2}\pi}[/tex]

Step-by-step explanation:

Use length of arc formula.

[tex]\frac{\theta }{360} \times2 \pi r[/tex]

The radius is 1 unit.

θ = 90°

[tex]\frac{90}{360} \times 2\pi (1)[/tex]

[tex]\frac{1}{4} \times 2\pi[/tex]

[tex]\frac{1}{2} \times\pi[/tex]

Answer:

V=11*7*9=693

Step-by-step explanation:

V=Bh ( B is the base area ( base*height) , and h is the height of the prism)

find B=base*h

B=11*7=77 in²

V=B*h=77*9=693 in³

The volume of the triangular prism is 174.25 in³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, the triangular base has a base of 11 inches and height of 7 inches.

The formula for finding the volume of a triangular prism is V = (base area x height) / 2.

In this case, the base area of the triangle can be calculated using the formula A = (1/2)bh, where b is the base length and h is the height.

In this case, b = 11 inches and h = 7 inches, so the base area is A = (1/2)(11)(7) = 38.5 inches squared.

Now that we have the base area, we can calculate the volume of the triangular prism: V = (38.5 inches² x 9 inches) / 2 = 174.25 in³.

Therefore, the volume of the triangular prism is 174.25 in³.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ3

Answer:

Final velocity, v = 21.75 m/s

Step-by-step explanation:

Given that the relation between final velocity, initial velocity, acceleration and distance traveled is expressed as:

[tex]v^2=u^2+2as[/tex]

Also, given that:

Initial velocity, u = 9 m/s

Acceleration, a = 7 m/[tex]s^2[/tex]

Distance, s = 28 m

To find:

Final velocity, v = ?

Solution:

The given relation between v, u, a and s is:

[tex]v^2=u^2+2as[/tex]

We have the values of initial velocity, acceleration and distance traveled in the question statement. We just need to put all these values to find the value of final velocity.

Let us put all the values in the given equation and try to find final velocity, v:

[tex]v^2=9^2+2\times 7 \times 28\\\Rightarrow v^2=81+14 \times 28\\\Rightarrow v^2=81+392\\\Rightarrow v^2=473\\\Rightarrow v=\sqrt{473}\\\Rightarrow v=21.75\ m/s[/tex]

So, the answer is:

final velocity, v = 21.75 m/s

Hi,

[tex]y=5x^{2} +12x-2\\y=x(5x+12)-\frac{46}{5} \\y=5(x+\frac{6}{5} )^{2}-\frac{46}{5} \\[/tex]

Have a good day.

Answer:

the table is correct

the graph will look like:

Answer:

The quotient is 2x^2+4x+11

Step-by-step explanation:

Answer:

Option C. 3077.2 mm³

Step-by-step explanation:

Data obtained from the question include the following:

Diameter (d) = 17 mm

Height (h) = 60 mm

Pi (π) = 3.14

Volume =?

Next, we shall determine the radius of the cone. This is illustrated below:

Diameter (d) = 17 mm

Radius (r) =.?

Radius (r) = diameter (d)/2

r = d/2

r = 14/2

r = 7 mm.

The radius therefore, is 7 mm.

To know how much frozen water

is in the icicle, we shall calculate the volume of the icicle using the formula for calculating the volume of a cone. This is illustrated below:

Height (h) = 60 mm

Pi (π) = 3.14

Radius (r) = 7 mm

Volume =..?

V = ⅓πr²h

V = ⅓ × 3.14 × 7² × 60

V = 3.14 × 49 × 20

V = 3077.2 mm³

Therefore, the amount of frozen water in the icicle is 3077.2 mm³

Answer:

C 3,077.2 mm

Step-by-step explanation:

Answer:

Market price = Rs. 15,000

Step-by-step explanation:

Let Market price = x

discount = 20% of x

              = 0.20 *x = 0.2x

Selling price after discount = x - 0.2x = 0.8x

Value added tax = 15% of 0.8x

                            = 0.15 * 0.8x

                           = 0.12x

Selling price with VAT = 0.8x + 0.12x = 0.92x

Differences between SP with vat and SP after discount = rs.1800

0.92x - 0.8x = 1800

0.12 x = 1800

x = 1800/0.12

x = Rs. 15,000

Answer:

x = 1

Step-by-step explanation:

Given

8 - 5(x - 3) = 18 ( subtract 8 from both sides )

- 5(x - 3) = 10 ( divide both sides by - 5 )

x - 3 = - 2 ( add 3 to both sides )

x = 1

Answer:

Her annual salary is approximately $41,667

Step-by-step explanation:

Hello,

This question deals with percentage of a number and it's very easy :)

First of all, get the data and understand what's required of us.

Pam spends $7500 yearly on expenses

But this amount represents 18% of her annual income.

Let her annual income be represented by x

18% = 7500 / x

18÷100 = 7500÷x

cross multiply and solve for x

18 × x = 7500 × 100

18x = 750,000

divide both sides by 18

18x / 18 = 750,000 / 18

x = $41,666.67

x = $41,667

Her annual salary is approximately $41,667

Answer:

x=48

Step-by-step explanation:

The other angle is 66° because it's an isosceles triangle

so

180=66+66+x

180=132+x

x=48

Answer:

48 degrees

Step-by-step explanation:

Since the triangle is iscoceles because it has two sides with a length of 7, two angles will be 66 degrees and the missing angle will be the sum of total angles in a triangle minus the other two 66 degree angles. 180 - 66 - 66 = 48

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Following are the description of the given points:

(a) This is a system of probability, which possibility occurs inside an intended manner whenever they choose this specific point of origin from 1 to 100 with no one reserve the possibility about who gets throughout the survey.  

(b) Its method is different from the random sampling technique with the base available. For example, two individuals whose names identical to both the list have no chance to join within the survey.  

(c) its sample is objective to its everyone can enter the test in equal measure.

Answer: 3 x minus 3 + 4 = 2 minus x minus 3

              3 x + 1 = negative x minus 1

Step-by-step explanation:

             A and D. Edge 2020

The required equation that Samuel used is 3x -3 + 4 =2- x -3. option A is correct.

Samuel is solving the equation 3 (x minus 1) + 4 = 2 minus (x + 3). Which equivalent equations might Samuel use, is to be determined.

The equation is the relationship between variables and represented as[tex]y = ax +b[/tex]  is an example of a polynomial equation.

Given equation is [tex]3(x-1) +4 =2 -(x+3)[/tex]
Simplification of the above equation,
opening the parenthesis on both sides
step 1⇒ 3x - 3 + 4 = 2 - x - 3
step 2⇒ 3x + 1 = -x - 1
Transposition of -x to the left side and +1 to the right side
step 4 ⇒ 3x +x = -1 -1
                  4x = -2
Transposition of 4 to the denominator of -2.
step 5⇒ x = -2/4
               x = -1/2

Thus , Step 1 3x -3 + 4 =2- x -3 is the equivalent equation used by the samuel.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ5

Answer:

[tex]\boxed{-432\sqrt{2} i}[/tex]

Step-by-step explanation:

[tex]( 2 \sqrt{-2} )( 3 \sqrt{4} ) \sqrt{-3} \times ( 2 \sqrt{-3} )( 3 \sqrt{2} ) \sqrt{2}[/tex]

[tex]2 \times \sqrt{-2} \times 3 \times \sqrt{4} \times \sqrt{-3} \times 2 \times \sqrt{-3} \times 3 \times \sqrt{2} \times \sqrt{2}[/tex]

[tex]2 \times \sqrt{-2} \times 3 \times 2 \times \sqrt{-3} \times 2 \times \sqrt{-3} \times 3 \times 2[/tex]

[tex]2 \times \sqrt{-2} \times 3 \times 2 \times -3 \times 2 \times 3 \times 2[/tex]

[tex]-432\sqrt{2}\sqrt{-1}[/tex]

[tex]-432\sqrt{2} i[/tex]

Answer: it’s d!

Step-by-step explanation:

Answer:

0.0015 km².

Step-by-step explanation:

It is given that a map is drawn to a scale of 1 cm to 250 cm.

[tex]1\ cm\times 1\ cm=250\ cm\times 250\ cm[/tex]

[tex]1\ cm^2=62500\ cm^2[/tex]

It is given that an airport has an area of 240 cm² on the map. So, its actual area is

[tex]Area=240\times 62500\ cm^2[/tex]

[tex]Area=15000000\ cm^2[/tex]

[tex]Area=\dfrac{15000000}{10000000000}\ km^2[/tex]

[tex]Area=0.0015\ cm^2[/tex]        [tex][\because 1\ km^2=10000000000\ cm^2][/tex]

Therefore, the area of airport is 0.0015 km².

Answer:

(-19 , -7)

Step-by-step explanation:

y - x = 12

y + x = -25 we sum them to get

2y = -14 , y = -7

then we put -7 instead of y in any of the equations:

-7 - x = 12

-x = 19

x = -19,

finally (x , y) is (-19 , -7)

Answer:

30°, 60° and 90°

Step-by-step explanation:

Given the expression Arccos (√3/2)=β, we can use the expression to calculate one of the acute angles in a right angled triangle.

Note that a right angled triangle is made up of two acute angles and a right angled (90°)

Let's get one of the acute angles first

If Arccos (√3/2)=β

β = cos^-1 √3/2

β = 30°

This shows that one of the acute angles is 30°

To get the third angle, we know that sum of angles in a triangle is 180° and since we already know two of the angles, i.e 90° and 30°, we can get the third angle.

90+30+x = 180

120+x = 180

x = 180-120

x = 60°

All the angle measurement for the right angled triangle are 30°, 60° and 90°

Answer:

He will earn 80% during training

Step-by-step explanation:

Lets take $25 as 100%

And take $20 as x

Using equivalent ratios, the equation would look like: $25:100% = $20:x

Next, turn them into fractions: $25 = $20

100% x

Cross multiply to get:

(25)x = $20×100%

The next step:

25x = $20×100%

25 25

25 and 25 will cancel each other out leaving x, and 25 will divide 100% which will give you 4

Leaving it as:

x= 20×4%

x= 80%

Answer:

The true answers:

A

B

C

Step-by-step explanation:

A P E X

Answer:

3.

A. Y = 2x + 30  (red line)

B. Y=5x  (blue line)

C. Y=70  (green line)

From 0 to 10 days, choose option B (shown on graph)

From 10 to 20 days, choose option A (first option)

From 20 days and more, choose option C.

4.

surface area of label = 471.2 cm^2

Step-by-step explanation:

Q1718436 Math Camp

2. At Math Camp, students can either pack their own lunch every day or buy lunch at camp. If they want to buy lunch there are 3 options:  

Option A: they pay an initial fee of $30 and lunches cost $2 each  

Option B: shown on the graph  

Option C: they pay a flat fee of $70 which includes all lunches  

Write an equation for each option. (3 marks) Option A: Option B: Option C:  

A. Y = 2x + 30  (red line)

B. Y=5x  (blue line)

C. Y=70  (green line)

b) Describe under what conditions, a student should choose each option. (Hint: you may want to graph all 3 lines on the same axes) (4 marks)  

Choose Option A if: Choose Option B if: Choose Option C if:  

Least cost is what is below the lowest possible line for the number of days stayed.

From 0 to 10 days, choose option B (shown on graph)

From 10 to 20 days, choose option A (first option)

From 20 days and more, choose option C.

Note that for days 10 and 20, there are two choices each.

3.  

4. A Campbell’s Soup can is 15cm tall and has a radius of 5 cm. How much paper is needed to make the label (think about what the label covers)? (3 marks) How much soup can this hold? (1 cm3 = 1 mL) (3 marks)

The label only covers the curved surface.

Curved surface area  

= 2 pi * r * h

= 2 pi (5) * 15

= 150 pi

= 471.2 cm^2

Answer:

803.84yd²

Step-by-step explanation:

Surface Area of A Sphere: [tex]A=4\pi r^2[/tex]

We are given the radius of 8 yards.

Using 3.14 for pi:

[tex]A=4*3.14*8^2\\\\A=4*3.14*64\\\\A=12.56*64\\\\\boxed{A=803.84}[/tex]

The correct answer should be 803.84yd².

Brainilest Appreciated.

Answer:

803.84 yd^2

Step-by-step explanation:

4*3.14*8^2

12.56*64

803.84

brainliest pls

hope i helped

           -ZYLYNN

Answer:

4 hours

Step-by-step explanation:

Formula for volume of a cylinder is πr² · h

1. Find the volume of the pool

π(3.5²) · 1.9 = 73.1 m³

2. Divide by the amount of water pumped out per hour (17 m³)

73.1 ÷ 17 = 4.3

It would take 5 hours to completely empty the pool but 4.3 rounded to the nearest whole hour is 4 hours.

Answer:

The hours does it take to empty the pool is 4.299

Step-by-step explanation:

In order to calculate how many hours does it take to empty the pool, we would have to make the following calculation:

hours does it take to empty the pool=Volume of cylinder/rate water is pumped out of the pool

rate water is pumped out of the pool=17m∧3

Volume of cylinder=pi*r∧2*l

According to the given data:

r=3.5

l=1.9

Therefore, Volume of cylinder=3.14*3.5∧2*1.9

Volume of cylinder=73.0835 m∧3

hours does it take to empty the pool=73.0835/17

hours does it take to empty the pool=4.299

The hours does it take to empty the pool is 4.299

Answer:

1,000

Step-by-step explanation:

1,000,000 x 1,000 = 1,000,000,000

1,000,000,000 has 4 more zeros than   1,000,000 and 1,000 has 4 zeros so there 1000 is  the answer.

Answer: hypotenuse = [tex]c^{2} + b^{2}[/tex]

Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side ([tex]s_{1},s_{2}[/tex]) of the right triangle, .i.e.:

[tex]h^{2} = s_{1}^{2} + s_{2}^{2}[/tex]

In this question:

[tex]s_{1}[/tex] = [tex]c^{2}-b^{2}[/tex]

[tex]s_{2} =[/tex] 2bc

Substituing and taking square root to find hypotenuse:

[tex]h=\sqrt{(c^{2}-b^{2})^{2}+(2bc)^{2}}[/tex]

Calculating:

[tex]h=\sqrt{c^{4}+b^{4}-2b^{2}c^{2}+(4b^{2}c^{2})}[/tex]

[tex]h=\sqrt{c^{4}+b^{4}+2b^{2}c^{2}}[/tex]

[tex]c^{4}+b^{4}+2b^{2}c^{2}[/tex] = [tex](c^{2}+b^{2})^{2}[/tex], then:

[tex]h=\sqrt{(c^{2}+b^{2})^{2}}[/tex]

[tex]h=(c^{2}+b^{2})[/tex]

Hypotenuse for the right-angled triangle is [tex]h=(c^{2}+b^{2})[/tex] units

The expression for the length of the hypotenuse is [tex]c^2+ b^2 \ units[/tex].

Given that,

A right-angled triangle has shorter side lengths exactly [tex]c^{2} - b^{2}[/tex] and 2bc units respectively,

Where b and c are positive real numbers such that c is greater than b.

We have to determine,

An exact expression for the length of the hypotenuse?

According to the question,

The Pythagoras theorem states that the sum of the hypotenuse in the right-angled triangle is equal to the sum of the square of the other two sides.

A right-angled triangle has shorter side lengths exactly [tex]c^{2} - b^{2}[/tex] and 2bc units respectively,

Where b and c are positive real numbers such that c is greater than b.

Therefore,

The expression for the length of the hypotenuse is,

[tex]\rm (Hypotenuse)^2 = (c^2-b^2)^2+ (2bc)^2\\\\(Hypotenuse)^2 = c^4+ b^4 - 2c^2b^2 + 4c^2b^2\\\\(Hypotenuse)^2 = c^4+ b^4 +2c^2b^2 \\\\Hypotenuse = \sqrt{c^4+ b^4 +2c^2b^2}\\\\\ Hypotenuse = \sqrt{(c^2+ b^2)^2}\\\\ Hypotenuse = c^2+b^2 \ units[/tex]

Hence, The required expression for the length of the hypotenuse is [tex]c^2+ b^2 \ units[/tex].

For more details refer to the link.

https://brainly.com/question/9214495